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Midsphere Radius of Hexakis Octahedron given Medium Edge Formula

GoMidsphere Radius of Hexakis Octahedron Formula

GoMidsphere Radius of Hexakis Octahedron given Short Edge Formula

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Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere. Check FAQs

r m = \frac{7 \cdot l e(Medium)}{6}

r_m - Midsphere Radius of Hexakis Octahedron?l_e(Medium) - Medium Edge of Hexakis Octahedron?

Midsphere Radius of Hexakis Octahedron given Medium Edge Example

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Here is how the Midsphere Radius of Hexakis Octahedron given Medium Edge equation looks like with Values.

Here is how the Midsphere Radius of Hexakis Octahedron given Medium Edge equation looks like with Units.

Here is how the Midsphere Radius of Hexakis Octahedron given Medium Edge equation looks like.

18.6667 = \frac{7 \cdot 16}{6}

18.6667m = \frac{7 \cdot 16m}{6}

18.6667 = \frac{7 \cdot 16}{6}

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Midsphere Radius of Hexakis Octahedron given Medium Edge Solution

Follow our step by step solution on how to calculate Midsphere Radius of Hexakis Octahedron given Medium Edge?

FIRST Step Consider the formula

r m = \frac{7 \cdot l e(Medium)}{6}

Next Step Substitute values of Variables

∴

r m = \frac{7 \cdot 16m}{6}

Next Step Prepare to Evaluate

∴

r m = \frac{7 \cdot 16}{6}

Next Step Evaluate

∴

r m = 18.6666666666667m

LAST Step Rounding Answer

∴

r m = 18.6667m

Midsphere Radius of Hexakis Octahedron given Medium Edge Formula Elements

Variables

Midsphere Radius of Hexakis Octahedron

Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Hexakis Octahedron

Medium Edge of Hexakis Octahedron

Medium Edge of Hexakis Octahedron is the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron.

Symbol: l_e(Medium)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Medium Edge of Hexakis Octahedron

Other Formulas to find Midsphere Radius of Hexakis Octahedron

Go Midsphere Radius of Hexakis Octahedron

r m = (\frac{l e(Long)}{4}) \cdot (1 + (2 \cdot \sqrt{2}))

Go Midsphere Radius of Hexakis Octahedron given Short Edge

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{14 \cdot l e(Short)}{10 - \sqrt{2}})

Go Midsphere Radius of Hexakis Octahedron given Total Surface Area

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Go Midsphere Radius of Hexakis Octahedron given Volume

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

How to Evaluate Midsphere Radius of Hexakis Octahedron given Medium Edge?

Midsphere Radius of Hexakis Octahedron given Medium Edge evaluator uses Midsphere Radius of Hexakis Octahedron = (7*Medium Edge of Hexakis Octahedron)/6 to evaluate the Midsphere Radius of Hexakis Octahedron, The Midsphere Radius of Hexakis Octahedron given Medium Edge formula is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere, calculated using the medium edge of Hexakis Octahedron. Midsphere Radius of Hexakis Octahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Hexakis Octahedron given Medium Edge using this online evaluator? To use this online evaluator for Midsphere Radius of Hexakis Octahedron given Medium Edge, enter Medium Edge of Hexakis Octahedron (l_e(Medium)) and hit the calculate button.

FAQs on Midsphere Radius of Hexakis Octahedron given Medium Edge

What is the formula to find Midsphere Radius of Hexakis Octahedron given Medium Edge?

The formula of Midsphere Radius of Hexakis Octahedron given Medium Edge is expressed as Midsphere Radius of Hexakis Octahedron = (7*Medium Edge of Hexakis Octahedron)/6. Here is an example- 18.66667 = (7*16)/6.

How to calculate Midsphere Radius of Hexakis Octahedron given Medium Edge?

With Medium Edge of Hexakis Octahedron (l_e(Medium)) we can find Midsphere Radius of Hexakis Octahedron given Medium Edge using the formula - Midsphere Radius of Hexakis Octahedron = (7*Medium Edge of Hexakis Octahedron)/6.

What are the other ways to Calculate Midsphere Radius of Hexakis Octahedron?

Here are the different ways to Calculate Midsphere Radius of Hexakis Octahedron-

Midsphere Radius of Hexakis Octahedron=(Long Edge of Hexakis Octahedron/4)*(1+(2*sqrt(2)))
Midsphere Radius of Hexakis Octahedron=((1+(2*sqrt(2)))/4)*((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))
Midsphere Radius of Hexakis Octahedron=((1+(2*sqrt(2)))/4)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2))))))

Can the Midsphere Radius of Hexakis Octahedron given Medium Edge be negative?

No, the Midsphere Radius of Hexakis Octahedron given Medium Edge, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Hexakis Octahedron given Medium Edge?

Midsphere Radius of Hexakis Octahedron given Medium Edge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Midsphere Radius of Hexakis Octahedron given Medium Edge can be measured.

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